Answer:
[tex]x=-\frac{10}{7}[/tex]
Step-by-step explanation:
Let's solve your equation step-by-step.
[tex]\frac{2x-1}{3} =\frac{x+4}{-2}[/tex]
Cross Multiply:
[tex]-2(2x-1)=3(x+4)\\\\-4x+2=3x+12[/tex]
Subtract 3x from both sides:
[tex]-7x+2=12[/tex]
Subtract 2 from both sides:
[tex]-7x=10[/tex]
Divide both sides by -7:
[tex]x=-\frac{10}{7}[/tex]